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Finding the Fourth Proportional to 193.16, 289.42 and 171.44

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Solution

The fourth proportional to 193.16, 289.42 and 171.44 is: 256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 289.42 = 171.44 : x
  2. Step 2: Convert to fraction form
    193.16/289.42 = 171.44/x
  3. Step 3: Cross multiply
    193.16x = 289.42 × 171.44
  4. Step 4: Simplify right side
    193.16x = 49,618.16
  5. Step 5: Solve for x
    x = 49,618.16/193.16
  6. Step 6: Final answer
    x = 256.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.